Linked Exact Triples of Triangulated Categories and a Calculus of t-Structures

Michael Berg

Linked Exact Triples of Triangulated Categories and a Calculus of t-Structures

Mathematics, Statistics and Data Science

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce a new formalism of exact triples of triangulated categories arranged in certain types of diagrams. We prove that these arrangements are well-behaved relative to the process of gluing and ungluing t -structures defined on the indicated categories and we connect our con. structs to· a problem (from number theory) involving derived categories. We also briefly address a possible connection with a result of R. Thomason.

Original language	American English
Pages (from-to)	117-138
Journal	International Journal of Pure and Applied Mathematics
Volume	32
Issue number	1
State	Published - 2006

Keywords

exact triples of triangulated categories
t-structures

Disciplines

Algebraic Geometry
Geometry and Topology

Access to Document

https://digitalcommons.lmu.edu/math_fac/73

Cite this

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abstract = " We introduce a new formalism of exact triples of triangulated categories arranged in certain types of diagrams. We prove that these arrangements are well-behaved relative to the process of gluing and ungluing t -structures defined on the indicated categories and we connect our con. structs to· a problem (from number theory) involving derived categories. We also briefly address a possible connection with a result of R. Thomason.",

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